| Laboratory of Mathematical Physics | Head: V.A. Dubovitskii, Candidate of Science (Physics and Mathematics) |
| Laboratory of Spin Dynamics and Spin Computing | Head: E.B. Fel'dman, Doctor of Science (Physics and Mathematics) |
| Laboratory of Theory of Elementary Processes | Head: V.I. Osherov, Doctor of Science (Physics and Mathematics) |
| Laboratory of Non-linear Processes | Head: L.P. Kholpanov, Doctor of Science (Technology) |
| Laboratory of Parallel Computing Technologies | Head: P.K. Berzigiyarov, Doctor of Science (Physics and Mathematics) |
| Group of Theoretical Radio-Spectroscopy | Head: T.P. Kulagina, Doctor of Science (Physics and Mathematics) |
| Group of Non-equilibrium Processes | Head: O.V. Skrebkov, Doctor of Science (Physics and Mathematics) |
| Group of Modeling of Elementary Chemical Reactions | Head: V.M. Volokhov, Candidate of Science (Physics and Mathematics) |